1. Warm Up
6.1 Exit Slip! Please pick one up on your way in.

2. 6.2 Notes
Parallelograms

3. Parallelogram

5. Example 1
In parallelogram ABCD, suppose mÐB = 32, CD = 80 inches, and BC = 15 inches.
a) Find AD.
b) Find mÐC.
c) Find mÐD.

6. Diagonals

7. Example 2

8. Example 2 Continued

9. Example 3
a) What are the coordinates of the intersection of the diagonals of parallelogram MNPR, with vertices M(–3, 0), N(–1, 3), P(5, 4) and R(3, 1)?

10. Example 3 continued…
b) What are the coordinates of the intersection of the diagonals of parallelogram LMNO, with vertices L(0, –3), M(–2, 1), N(1, 5) and O(3, 1)?

11. Example 4 Write a paragraph proof.
Given: Parallelogram ABCD, 𝐴𝐶 and 𝐵𝐷 are diagonals, and point P is the intersection of 𝐴𝐶 and 𝐵𝐷 .
Prove: 𝐴𝐶 and 𝐵𝐷 bisect each other.